An Introduction to the Mathematics of Financial Derivatives

An Introduction to the Mathematics of Financial Derivatives PDF Author: Ali Hirsa
Publisher: Academic Press
ISBN: 0123846838
Category : Business & Economics
Languages : en
Pages : 456

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Book Description
An Introduction to the Mathematics of Financial Derivatives is a popular, intuitive text that eases the transition between basic summaries of financial engineering to more advanced treatments using stochastic calculus. Requiring only a basic knowledge of calculus and probability, it takes readers on a tour of advanced financial engineering. This classic title has been revised by Ali Hirsa, who accentuates its well-known strengths while introducing new subjects, updating others, and bringing new continuity to the whole. Popular with readers because it emphasizes intuition and common sense, An Introduction to the Mathematics of Financial Derivatives remains the only "introductory" text that can appeal to people outside the mathematics and physics communities as it explains the hows and whys of practical finance problems. - Facilitates readers' understanding of underlying mathematical and theoretical models by presenting a mixture of theory and applications with hands-on learning - Presented intuitively, breaking up complex mathematics concepts into easily understood notions - Encourages use of discrete chapters as complementary readings on different topics, offering flexibility in learning and teaching

An Introduction to the Mathematics of Financial Derivatives

An Introduction to the Mathematics of Financial Derivatives PDF Author: Ali Hirsa
Publisher: Academic Press
ISBN: 0123846838
Category : Business & Economics
Languages : en
Pages : 456

Get Book Here

Book Description
An Introduction to the Mathematics of Financial Derivatives is a popular, intuitive text that eases the transition between basic summaries of financial engineering to more advanced treatments using stochastic calculus. Requiring only a basic knowledge of calculus and probability, it takes readers on a tour of advanced financial engineering. This classic title has been revised by Ali Hirsa, who accentuates its well-known strengths while introducing new subjects, updating others, and bringing new continuity to the whole. Popular with readers because it emphasizes intuition and common sense, An Introduction to the Mathematics of Financial Derivatives remains the only "introductory" text that can appeal to people outside the mathematics and physics communities as it explains the hows and whys of practical finance problems. - Facilitates readers' understanding of underlying mathematical and theoretical models by presenting a mixture of theory and applications with hands-on learning - Presented intuitively, breaking up complex mathematics concepts into easily understood notions - Encourages use of discrete chapters as complementary readings on different topics, offering flexibility in learning and teaching

Stochastic Volatility Modeling

Stochastic Volatility Modeling PDF Author: Lorenzo Bergomi
Publisher: CRC Press
ISBN: 1482244071
Category : Business & Economics
Languages : en
Pages : 520

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Book Description
Packed with insights, Lorenzo Bergomi's Stochastic Volatility Modeling explains how stochastic volatility is used to address issues arising in the modeling of derivatives, including:Which trading issues do we tackle with stochastic volatility? How do we design models and assess their relevance? How do we tell which models are usable and when does c

Equity Derivatives and Hybrids

Equity Derivatives and Hybrids PDF Author: Oliver Brockhaus
Publisher: Springer
ISBN: 1137349492
Category : Business & Economics
Languages : en
Pages : 304

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Book Description
Since the development of the Black-Scholes model, research on equity derivatives has evolved rapidly to the point where it is now difficult to cut through the myriad of literature to find relevant material. Written by a quant with many years of experience in the field this book provides an up-to-date account of equity and equity-hybrid (equity-rates, equity-credit, equity-foreign exchange) derivatives modeling from a practitioner's perspective. The content reflects the requirements of practitioners in financial institutions: Quants will find a survey of state-of-the-art models and guidance on how to efficiently implement them with regards to market data representation, calibration, and sensitivity computation. Traders and structurers will learn about structured products, selection of the most appropriate models, as well as efficient hedging methods while risk managers will better understand market, credit, and model risk and find valuable information on advanced correlation concepts. Equity Derivatives and Hybrids provides exhaustive coverage of both market standard and new approaches, including: -Empirical properties of stock returns including autocorrelation and jumps -Dividend discount models -Non-Markovian and discrete-time volatility processes -Correlation skew modeling via copula as well as local and stochastic correlation factors -Hybrid modeling covering local and stochastic processes for interest rate, hazard rate, and volatility as well as closed form solutions -Credit, debt, and funding valuation adjustment (CVA, DVA, FVA) -Monte Carlo techniques for sensitivities including algorithmic differentiation, path recycling, as well as multilevel. Written in a highly accessible manner with examples, applications, research, and ideas throughout, this book provides a valuable resource for quantitative-minded practitioners and researchers.

The Best of Wilmott 1

The Best of Wilmott 1 PDF Author: Paul Wilmott
Publisher: John Wiley & Sons
ISBN: 047002352X
Category : Business & Economics
Languages : en
Pages : 458

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Book Description
November 11th 2003 saw a landmark event take place in London. As the first conference designed for quants by quants the Quantitative Finance Review 2003, moved away from the anonymous bazaars that have become the norm, and instead delivered valuable information to market practitioners with the greatest interest. The roster of speakers was phenomenal, ranging from founding fathers to bright young things, discussing the latest developments, with a specific emphasis on the burgeoning field of credit derivatives. You really had to be there. Until now, at least. The Best of Wilmott 1: Including the latest research from Quantitative Finance Review 2003 contains these first-class articles, originally presented at the QFR 2003, along with a collection of selected technical papers from Wilmott magazine. In publishing this book we hope to share some of the great insights that, until now, only delegates at QFR 2003 were privy to, and give you some idea why Wilmott magazine is the most talked about periodical in the market. Including articles from luminaries such as Ed Thorp, Jean-Philippe Bouchaud, Philipp Schoenbucher, Pat Hagan, Ephraim Clark, Marc Potters, Peter Jaeckel and Paul Wilmott, this collection is a must for anyone working in the field of quantitative finance. The articles cover a wide range of topics: * Psychology in Financial Markets * Measuring Country Risk as Implied Volatility * The Equity-to-Credit Problem * Introducing Variety in Risk Management * The Art and Science of Curve Building * Next Generation Models for Convertible Bonds with Credit Risk * Stochastic Volatility and Mean-variance Analysis * Cliquet Options and Volatility Models And as they say at the end of (most) Bond movies The Best of Wilmott... will return on an annual basis.

Fitting Local Volatility: Analytic And Numerical Approaches In Black-scholes And Local Variance Gamma Models

Fitting Local Volatility: Analytic And Numerical Approaches In Black-scholes And Local Variance Gamma Models PDF Author: Andrey Itkin
Publisher: World Scientific
ISBN: 9811212783
Category : Business & Economics
Languages : en
Pages : 205

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Book Description
The concept of local volatility as well as the local volatility model are one of the classical topics of mathematical finance. Although the existing literature is wide, there still exist various problems that have not drawn sufficient attention so far, for example: a) construction of analytical solutions of the Dupire equation for an arbitrary shape of the local volatility function; b) construction of parametric or non-parametric regression of the local volatility surface suitable for fast calibration; c) no-arbitrage interpolation and extrapolation of the local and implied volatility surfaces; d) extension of the local volatility concept beyond the Black-Scholes model, etc. Also, recent progresses in deep learning and artificial neural networks as applied to financial engineering have made it reasonable to look again at various classical problems of mathematical finance including that of building a no-arbitrage local/implied volatility surface and calibrating it to the option market data.This book was written with the purpose of presenting new results previously developed in a series of papers and explaining them consistently, starting from the general concept of Dupire, Derman and Kani and then concentrating on various extensions proposed by the author and his co-authors. This volume collects all the results in one place, and provides some typical examples of the problems that can be efficiently solved using the proposed methods. This also results in a faster calibration of the local and implied volatility surfaces as compared to standard approaches.The methods and solutions presented in this volume are new and recently published, and are accompanied by various additional comments and considerations. Since from the mathematical point of view, the level of details is closer to the applied rather than to the abstract or pure theoretical mathematics, the book could also be recommended to graduate students with majors in computational or quantitative finance, financial engineering or even applied mathematics. In particular, the author used to teach some topics of this book as a part of his special course on computational finance at the Tandon School of Engineering, New York University.

Financial Engineering with Finite Elements

Financial Engineering with Finite Elements PDF Author: Juergen Topper
Publisher: John Wiley & Sons
ISBN: 0470012919
Category : Business & Economics
Languages : en
Pages : 378

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Book Description
The pricing of derivative instruments has always been a highly complex and time-consuming activity. Advances in technology, however, have enabled much quicker and more accurate pricing through mathematical rather than analytical models. In this book, the author bridges the divide between finance and mathematics by applying this proven mathematical technique to the financial markets. Utilising practical examples, the author systematically describes the processes involved in a manner accessible to those without a deep understanding of mathematics. * Explains little understood techniques that will assist in the accurate more speedy pricing of options * Centres on the practical application of these useful techniques * Offers a detailed and comprehensive account of the methods involved and is the first to explore the application of these particular techniques to the financial markets

Advanced Financial Modelling

Advanced Financial Modelling PDF Author: Hansjörg Albrecher
Publisher: Walter de Gruyter
ISBN: 3110213133
Category : Finance
Languages : en
Pages : 465

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Book Description
Annotation This book is a collection of state-of-the-art surveys on various topics in mathematical finance, with an emphasis on recent modelling and computational approaches. The volume is related to a a ~Special Semester on Stochastics with Emphasis on Financea (TM) that took place from September to December 2008 at the Johann Radon Institute for Computational and Applied Mathematics of the Austrian Academy of Sciences in Linz, Austria

The Volatility Surface

The Volatility Surface PDF Author: Jim Gatheral
Publisher:
ISBN: 9781119202073
Category : Options (Finance)
Languages : en
Pages : 179

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Book Description


FX Derivatives Trader School

FX Derivatives Trader School PDF Author: Giles Jewitt
Publisher: John Wiley & Sons
ISBN: 1119096618
Category : Business & Economics
Languages : en
Pages : 620

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Book Description
An essential guide to real-world derivatives trading FX Derivatives Trader School is the definitive guide to the technical and practical knowledge required for successful foreign exchange derivatives trading. Accessible in style and comprehensive in coverage, the book guides the reader through both basic and advanced derivative pricing and risk management topics. The basics of financial markets and trading are covered, plus practical derivatives mathematics is introduced with reference to real-world trading and risk management. Derivative contracts are covered in detail from a trader's perspective using risk profiles and pricing under different derivative models. Analysis is approached generically to enable new products to be understood by breaking the risk into fundamental building blocks. To assist with learning, the book also contains Excel practicals which will deepen understanding and help build useful skills. The book covers of a wide variety of topics, including: Derivative exposures within risk management Volatility surface construction Implied volatility and correlation risk Practical tips for students on trading internships and junior traders Market analysis techniques FX derivatives trading requires mathematical aptitude, risk management skill, and the ability to work quickly and accurately under pressure. There is a tremendous gap between option pricing formulas and the knowledge required to be a successful derivatives trader. FX Derivatives Trader School is unique in bridging that gap.

Equity Hybrid Derivatives

Equity Hybrid Derivatives PDF Author: Marcus Overhaus
Publisher: John Wiley & Sons
ISBN: 0471770582
Category : Business & Economics
Languages : en
Pages : 337

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Book Description
Take an in-depth look at equity hybrid derivatives. Written by the quantitative research team of Deutsche Bank, the world leader in innovative equity derivative transactions, this book presents leading-edge thinking in modeling, valuing, and hedging for this market, which is increasingly used for investment by hedge funds. You'll gain a balanced, integrated presentation of theory and practice, with an emphasis on understanding new techniques for analyzing volatility and credit derivative transactions linked to equity. In every instance, theory is illustrated along with practical application. Marcus Overhaus, PhD, is Managing Director and Global Head of Quantitative Research and Equity Structuring. Ana Bermudez, PhD, is an Associate in Global Quantitative Research. Hans Buehler, PhD, is a Vice President in Global Quantitative Research. Andrew Ferraris, DPhil, is a Managing Director in Global Quantitative Research. Christopher Jordinson, PhD, is a Vice President in Global Quantitative Research. Aziz Lamnouar, DEA, is a Vice President in Global Quantitative Research. All are associated with Deutsche Bank AG, London.